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Finding the Fourth Proportional to 503.34, 755.73 and 382.38

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Solution

The fourth proportional to 503.34, 755.73 and 382.38 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 755.73 = 382.38 : x
  2. Step 2: Convert to fraction form
    503.34/755.73 = 382.38/x
  3. Step 3: Cross multiply
    503.34x = 755.73 × 382.38
  4. Step 4: Simplify right side
    503.34x = 288,976.04
  5. Step 5: Solve for x
    x = 288,976.04/503.34
  6. Step 6: Final answer
    x = 574.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.